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Finding the Third Proportional to 84,026 and 184,615

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Solution

The third proportional to 84,026 and 184,615 is: 405,620.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,026 : 184,615 = 184,615 : x
  2. Step 2: Convert to fraction form
    84,026/184,615 = 184,615/x
  3. Step 3: Cross multiply
    84,026x = 184,615 × 184,615
  4. Step 4: Simplify right side
    84,026x = 34,082,698,225
  5. Step 5: Solve for x
    x = 34,082,698,225/84,026
  6. Step 6: Final answer
    x = 405,620.86

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.